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Finding the Fourth Proportional to 30,337.47, 45,506.21 and 9,560.97

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Solution

The fourth proportional to 30,337.47, 45,506.21 and 9,560.97 is: 14,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337.47 : 45,506.21 = 9,560.97 : x
  2. Step 2: Convert to fraction form
    30,337.47/45,506.21 = 9,560.97/x
  3. Step 3: Cross multiply
    30,337.47x = 45,506.21 × 9,560.97
  4. Step 4: Simplify right side
    30,337.47x = 435,083,460.82
  5. Step 5: Solve for x
    x = 435,083,460.82/30,337.47
  6. Step 6: Final answer
    x = 14,341.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.